What is the solution to the system of equations when graphed? y=-2x+3 y=-4x+15

1 Answer
Jun 7, 2018

Is the intercept of both lines. See below

Explanation:

#y=-2x+3#
#y=-4x+15#

This system represents two stright lines in plane. Observe that both lines have differente slope, so, they have a point in common

This point can be found solving the system (equalation for example)

#-2x+3=-4x+15#
#-2x+4x=15-3#
#2x=12#
#x=6#

To find #y#, replace #x# value in the first (or second if you want) equation

#y=-2·6+3=-12+3=-9#

The intercept point is #(6,-9)# You can see a graph representing situationenter image source here